Question

What is the distance between `(-1,101)` and `(-2,103)`?

Answer 1

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

`d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)`

Substituting the values from the points in the problem gives:

`d = sqrt((color(red)(-2) - color(blue)(-1))^2 + (color(red)(103) - color(blue)(101))^2)`

`d = sqrt((color(red)(-2) + color(blue)(1))^2 + (color(red)(103) - color(blue)(101))^2)`

`d = sqrt((-1)^2 + 2^2)`

`d = sqrt(1 + 4)`

`d = sqrt(5)`

Or

`d = 2.236` rounded to the nearest thousandth.